Question

Triangle DEF is shown below.
Use the drop-down menu to explain how to determine the angle measures of any triangle that is similar to triangle DEF. Click the arrows to choose and answer from each menu.

A triangle similar to DEF will have an angle that measures *choose...* degrees, an angle that measures *choose...* degrees, and an angle that measures *choose...* degrees​

Answer 1

Answer:

A triangle similar to DEF will have an angle that measures 45 degrees, an angle that measures 65 degrees, and an angle that measures 70 degrees​

Step-by-step explanation:

Given

See attachment for complete question

Required

Angles of a triangle similar to $\triangle DE F$

First, calculate the angle at D

$D + 110^o = 180^o$ ---- angle on a straight line

Collect like terms

$D = 180^o - 110^o$

$D = 70^o$

Next, calculate the angle at F

$F + 135^o = 180^o$ ---- angle on a straight line

Collect like terms

$F = 180^o -135^o$

$F = 45^o$

Lastly, the angle at E

$D + E + F = 180^o$ --- angles in a triangle

Make E the subject

$E = 180^o - D - F$

$E = 180^o - 70^o - 45^o$

$E = 65^o$

A triangle similar to $\triangle DE F$ will have 45, 70 and 65 degrees as its angles